Disrupted bandcount doubling in an AC-DC boost PFC circuit modeled by a time varying map

Research output: Contribution to journalConference article – Annual report year: 2016Researchpeer-review



  • Author: Avrutin, Viktor

    University of Stuttgart, Germany

  • Author: Zhusubaliyev, Zhanybai T.

    Southwest State University, Russian Federation

  • Author: Aroudi, Abdelali El

    Universidad Rovira i Virgili, Spain

  • Author: Fournier-Prunaret, Danièle

    Universite de Toulouse, France

  • Author: Garcia, Germain

    Universite de Toulouse, France

  • Author: Mosekilde, Erik

    Department of Physics, Technical University of Denmark, Denmark

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Power factor correction converters are used in many applications as AC-DC power supplies aiming at maintaining a near unity power factor. Systems of this type are known to exhibit nonlinear phenomena such as sub-harmonic oscillations and chaotic regimes that cannot be described by traditional averaged models. In this paper, we derive a time varying discretetime map modeling the behavior of a power factor correction AC-DC boost converter. This map is derived in closed-form and is able to faithfully reproduce the system behavior under realistic conditions. In the chaotic regime the map exhibits a sequence of bifurcation similar to a bandcount doubling cascade on the low frequency. However, the observed scenario appears in some sense incomplete, with some gaps in the bifurcation diagram, whose appearance to our knowledge has never been reported before. We show that these gaps are caused by high frequency oscillations.
Original languageEnglish
Article number012003
Book seriesJournal of Physics: Conference Series
Issue number1
Number of pages13
Publication statusPublished - 2016
Event NOMA’15 International Workshop on Nonlinear Maps and Applications - University College Dublin, Dublin, Ireland
Duration: 15 Jun 201616 Jun 2016


Conference NOMA’15 International Workshop on Nonlinear Maps and Applications
LocationUniversity College Dublin

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